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Pathlines and streaklines provide ways to visualize flows. Another technique would be to instantly inject a line of dye across streamlines and observe how this line moves as time increases. For example, consider the initially straight dye line injected in front of the circular cylinder shown in Fig. P4.19. Discuss how this dye line would appear at later times. How would you calculate the location of this line as a function of time?
A molecule of DNA (deoxyribonucleic acid) is 2.08 µm long. The ends of the molecule become singly ionized: negative on one end, Determine the effective spring constant of the molecule
A dc motor is connected to a constant emf of 16.9 V. The resistance of its windings is 2.0 ?. At normal operating speed, the motor delivers 7.1 W of mechanical power. (a) What is the initial current drawn by the motor when it is first started up? (b)..
How would the buoyant forces on the two cylinders compare? How would their apparent weights in water compare to each other?
A paperweight is made of a solid glass hemisphere with index of refraction 1.50. The radius of the circular cross section is 4 cm. The hemisphere is placed on its flat surface, with the centre directly over the 2.5 mm long line drawn on a sheet of ..
A kid is outside his home playing with a metal hoop and stick. If the hoop starts from rest at the top of the hill and reaches a linear speed of 9.50 m/s in 11.5 s, what is the angular acceleration of the hoop
A golf ball strikes a hard, smooth floor at an angle of ? = 32.4° and, rebounds at the same angle. What is the magnitude of the impulse applied to the golf ball by the floor
N=7 equal charges are located in the seven sides of a symmetrical octagon, distance R from the center. Obtain the direction and magnitude of the electric field at the center of the octagon
A train is traveling up a 5.0 degrees incline at a speed of 2.65 m/s when the last car breaks free and begins to coast without friction. How far did the last car travel before momentarily coming to rest
Multiple-Concept Example 3 provides some pertinent background for this problem. Suppose a single electron orbits about a nucleus containing two protons (+2e), find the magnitude of the electron's centripetal acceleration
Passengers riding in the Great Six Flags Air Racer are spun around a tall steel tower (see the figure). Calculate the speed of the planes
A plastic sphere floats in water with 35.0 percent of its volume submerged. Compute the densities of the sphere and the unknown fluid
a block weighing 16.8 N, which can slide without friction on an incline at angle ? = 45.0°, is connected to the top of the incline by a massless spring of spring constant 125 N/m. With what period does it oscillate
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